Veronese transform, and Castelnuovo-Mumford regularity of modules
نویسندگان
چکیده
1 Veronese rings, Segre embeddings or more generally Segre-Veronese embeddings are very important rings in Algebraic Geometry. In this paper we present an original, elementary way to compute the Hilbert-Poincare series of these rings, as a consequence we compute their Castelnuovo-Mumford regularity, and also the leading term of the h−vector. Moreover, we can compute the Castelnuovo-Mumford regularity of the n-Veronese Module of any finitely generated CohenMacaulay graded module.
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